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math.CO2022
a characterization of the centers of chordal graphs
James M Shook, Bing Wei
A graph is -chordal if it does not have an induced cycle with length greater than . We call a graph chordal if it is -chordal. Let be a graph. The distance between the…
math.CO2022
On a conjecture that strengthens Kundu's -factor Theorem
James M. Shook
Let be a non-increasing degree sequence with even . In 1974, Kundu showed that if is graphic, then some re…
math.CO2022★ 2 cited
Maximally Edge-Connected Realizations and Kundu's -factor Theorem
James M. Shook
A simple graph with edge-connectivity and minimum degree is maximally edge connected if . In 1964, given a non-increasing degree sequence $π=(d_{1},\ld…